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Finding the Fourth Proportional to 1,810.16, 2,714.50 and 714.24

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Solution

The fourth proportional to 1,810.16, 2,714.50 and 714.24 is: 1,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.16 : 2,714.50 = 714.24 : x
  2. Step 2: Convert to fraction form
    1,810.16/2,714.50 = 714.24/x
  3. Step 3: Cross multiply
    1,810.16x = 2,714.50 × 714.24
  4. Step 4: Simplify right side
    1,810.16x = 1,938,804.48
  5. Step 5: Solve for x
    x = 1,938,804.48/1,810.16
  6. Step 6: Final answer
    x = 1,071.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.